Finding the Third Proportional to 102.38 and 160.31

Step by Step Solution

1. Step 1: Write the proportion equation
   102.38 : 160.31 = 160.31 : x
2. Step 2: Convert to fraction form
   102.38/160.31 = 160.31/x
3. Step 3: Cross multiply
   102.38x = 160.31 × 160.31
4. Step 4: Simplify right side
   102.38x = 25,700.10
5. Step 5: Solve for x
   x = 25,700.10/102.38
6. Step 6: Final answer
   x = 251.04